N-loop treatment of overlapping diagrams by the implicit regularization technique

International Journal of Theoretical Physics

Volumn 42, Issue 11, 2003, Pages 2765-2795

  Gobira, S R ^a   Nemes, M C ^a  

^a FEDERAL UNIVERSITY OF MINAS GERAIS   (Brazil)

Author keywords

N loop treatment; Regularization; Renormalization

Indexed keywords

EID: 3843117507     PISSN: 00207748     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:IJTP.0000005983.70240.34     Document Type: Article

References (25)

1. Battistel, O. A. PhD Thesis, Universidade Federal de Minas Gerais (1999).
2. Battistel, O. A., Mota, A. L., and Nemes, M. C. (1998). Modern Physics Letters A 13, 1597.
3. Bogoliubov, N. N. and Parasiuk, O. (1957). Acta Mathematica 97, 227.
4. Bollini, C. G. and Giambiagi, J. J. (1972). Nuovo Cimento 12B, 20.
5. Brizola, A., Battistel, O. A., Sampaio, M., and Nemes, M. C. (1999). Modern Physics Letters A 14, 1509.
6. Brizola, A., Gobira, S. R., Sampaio, and Nemes, M. (2002). International Journal of Theoretical Physics (9).
7. Carrington, M. E., Chen, W. F., Kunstatter, G., and Mottershead, J. (1999). Physical Review D: Particles and Fields 60, 125018.
8. Chaichian, M. and Chen, W. F. (1998). Physical Review D: Particles and Fields 58, 125004.
9. del Águila, F., Culatti, A., Tápia, R. M., and Pérez-Victoria, M. (1997). Nuclear Physics B 504, 532.
10. del Águila, F., Culatti, A., Tápia, R. M., and Pérez-Victoria, M. (1998). Physics Letters B 419, 263.
11. del Águila, F., Culatti, A., Tápia, R. M., and Pérez-Victoria, M. (1999). Nuclear Physics B 537, 561.
12. del Águila, F. and Pérez-Victoria, M. (1998). Acta Physica Polonica B 29, 2857.
13. Freedman, D. Z., Johnson, K., and Latorre, J. I. (1992). Nuclear Physics B 371, 353.
14. Giavarini, G. and Martin, C. P. (1992). Nuclear Physics B 381, 222.
15. Hahn, T. and Pérez-Victoria, M. (1999). Computers in Physics Communications 118, 153.
16. Heep, K. (1966). Communications in Mathematical Physics 2, 301.
17. Kaku, M. (1993). "Quantum Field Theory," Oxford University Press, London, p. 446.
18. Martin, C. P. (1990). Physics Letters B 241 513.
19. Pérez-Victoria, M. (1998). Nuclear Physics B 442, 315.
20. Sampaio, M., Scarpelli, A. P., Hiller, B., Brizola, A., Nemes, M. C., and Gobira, S. R. (2002). Physical Review D 65, 125023.
21. Scarpelli, A. P., Sampaio, M., and Nemes, M. C. (2001). Physical Review D: Particles and Fields 63, 046004.
22. Siegel, W. (1980). Physics Letters B 94, 37.
23. 't Hooft, G. and Veltman, M. (1972a). Nuclear Physics B 44, 189.
24. 't Hooft, G. and Veltman, M. (1972b). Nuclear Physics B 50, 318.
25. Zimmerman, W. (1969). Communications in Mathematical Physics 15, 208.